Algebra, Algebraic Geometry & Combinatorics
Mathematicians use algebra to represent symmetries and other patterns
and to perform calculations that reveal geometric and other structures.
Algebra research in the department includes programs involving
combinatorics, representation theory, Lie theory, algebraic geometry,
group theory, coding theory, and cryptography.
Research Advisors for Algebra, Algebraic Geometry & Combinatorics
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Peter A. Linnell , bioProfessor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.
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Nick Loehr , bioProfessor Loehr conducts research in algebraic combinatorics. His work focuses on the combinatorics of symmetric functions, quasisymmetric functions, lattice paths, and tableau-like structures. These objects encode remarkable algebraic information about group representations, polynomial invariants, and Lie algebras.
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Gretchen Matthews , bioProfessor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.
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Leonardo Mihalcea , bioAssociate Professor Mihalcea studies classical and quantum intersection rings for flag manifolds and related algebraic varieties, an area combining techniques from Algebraic Geometry, Combinatorics, and Geometric Representation Theory.
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Daniel Orr , bioDaniel Orr conducts research in representation theory and algebraic combinatorics.
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Eyvindur Ari Palsson , bioAssistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
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Bio ItemMark Shimozono , bio
Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.
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Wenbo Sun , bioAssistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
Researchers of Algebra, Algebraic Geometry & Combinatorics
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Eric Ufferman , bioCollegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.
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Joseph Wells , bioDr. Wells thinks about most things related to complex hyperbolic geometry. In particular, he is interested in (non-)arithmetic subgroups of SU(n,1) and, lately, spherical CR-uniformizations of 3-manifolds.
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Palanivel Manoharan , bioResearch interest in Geometry of Manifolds and geometry of quantum states.
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Rahul Singh , bioDr. Singh's research lies at the intersection of algebraic geometry and combinatorics.